A unified treatment of the geometric algebra of matroids and even \(\Delta\)-matroids
type: Item
instance of: scholarly article
title: A unified treatment of the geometric algebra of matroids and even \(\Delta\)-matroids
zbMATH Open document ID: 0926.05012
author: Walter Wenzel
published in: Advances in Applied Mathematics
publication date: 1999-06-28T00:00:00Z
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 1309275
zbMATH Keywords: matroids with coefficients
zbMATH Keywords: base graph of a matroid
zbMATH Keywords: antipodal graphs
zbMATH Keywords: convexity in graphs
zbMATH Keywords: Maurer's homotopy
zbMATH Keywords: Coxeter group
zbMATH Keywords: representation theories of matroids
zbMATH Keywords: \(\Delta\)-matroids
zbMATH Keywords: Tutte group
MaRDI profile type: Publication
full work available at URL: aama.1998.0639
OpenAlex ID: W2038951367
cites work: Cross-cloning and antipodal graphs
cites work: On Reid's characterization of the ternary matroids
cites work: Orientability of matroids
cites work: Greedy algorithm and symmetric matroids
cites work: Q3490007
cites work: \(\Delta\)-matroids and metroids
cites work: Representability of \(\bigtriangleup\)-matroids over \(GF(2)\)
cites work: A characteristic free approach to invariant theory
cites work: On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
cites work: Duality theory for finite and infinite matroids with coefficients
cites work: Matroids with coefficients
cites work: Some combinatorial properties of discriminants in metric vector spaces
cites work: A combinatorial approach to \(p\)-adic geometry
cites work: Grassmann-Plücker relations and matroids with coefficients
cites work: Q3211316
cites work: Geometric algebra for combinatorial geometries
cites work: Valuated matroids
cites work: A simple proof of an identity concerning Pfaffians of skew symmetric matrices
cites work: Q3030842
cites work: Combinatorial geometries and torus strata on homogeneous compact manifolds
cites work: Even graphs
cites work: Bimatroids and invariants
cites work: Matroid basis graphs. I
cites work: Matroid representation over GF(3)
cites work: Lectures on matroids
cites work: Pfaffian forms and \(\Delta\)-matroids
cites work: Pfaffian forms and \(\Delta\)-matroids with coefficients
cites work: \(\Delta\)-matroids with the strong exchange conditions
cites work: Maurer's homotopy theory for even \(\Delta\)-matroids and related combinatorial geometries
cites work: A unified treatment of the theories of matroids with coefficients and of \(\Delta\)-matroids with coefficients
cites work: Maurer's homotopy theory and geometric algebra for even \(\Delta\)-matroids
DOI: 10.1006/AAMA.1998.0639
Recommended article: Matroid Theory for Algebraic Geometers
Recommended article: Maurer's homotopy theory and geometric algebra for even \(\Delta\)-matroids
Recommended article: A unified treatment of the theories of matroids with coefficients and of \(\Delta\)-matroids with coefficients
Recommended article: Q4763285
Recommended article: Matroids. A geometric introduction
Recommended article: Hispanic Heritage Month
Recommended article: Q3778770
Recommended article: Delta-matroids and Vassiliev invariants
Recommended article: A geometric characterization of Coxeter matroids
Recommended article: Maurer's homotopy theory for even \(\Delta\)-matroids and related combinatorial geometries
description: scientific article; zbMATH DE number 1309275